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214242301104 = 243134753137831
BaseRepresentation
bin1100011110000111010…
…1100001010010110000
3202110222220200112200220
43013201311201102300
512002232012113404
6242231020013040
721323060340516
oct3074165412260
9673886615626
10214242301104
1182950214887
1235631391180
1317283ba6390
14a52582c4b6
15588d9ba4d9
hex31e1d614b0

214242301104 has 160 divisors (see below), whose sum is σ = 620204304384. Its totient is φ = 63300357120.

The previous prime is 214242301043. The next prime is 214242301121. The reversal of 214242301104 is 401103242412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485469 + ... + 1623299.

Almost surely, 2214242301104 is an apocalyptic number.

214242301104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214242301104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310102152192).

214242301104 is an abundant number, since it is smaller than the sum of its proper divisors (405962003280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214242301104 is a wasteful number, since it uses less digits than its factorization.

214242301104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137955 (or 137949 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214242301104 its reverse (401103242412), we get a palindrome (615345543516).

The spelling of 214242301104 in words is "two hundred fourteen billion, two hundred forty-two million, three hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 53 78 94 104 106 141 156 159 188 208 212 282 312 318 376 424 564 611 624 636 689 752 848 1128 1222 1272 1378 1833 2067 2256 2444 2491 2544 2756 3666 4134 4888 4982 5512 7332 7473 8268 9776 9964 11024 14664 14946 16536 19928 29328 29892 32383 33072 39856 59784 64766 97149 119568 129532 137831 194298 259064 275662 388596 413493 518128 551324 777192 826986 1102648 1554384 1653972 1791803 2205296 3307944 3583606 5375409 6478057 6615888 7167212 7305043 10750818 12956114 14334424 14610086 19434171 21501636 21915129 25912228 28668848 29220172 38868342 43003272 43830258 51824456 58440344 77736684 84214741 86006544 87660516 94965559 103648912 116880688 155473368 168429482 175321032 189931118 252644223 284896677 310946736 336858964 343337021 350642064 379862236 505288446 569793354 673717928 686674042 759724472 1010576892 1030011063 1139586708 1347435856 1373348084 1519448944 2021153784 2060022126 2279173416 2746696168 4042307568 4120044252 4463381273 4558346832 5493392336 8240088504 8926762546 13390143819 16480177008 17853525092 26780287638 35707050184 53560575276 71414100368 107121150552 214242301104